Cohomological methods in intersection theory
DOI10.1007/978-3-030-78977-0_3zbMath1478.14003arXiv1905.03478OpenAlexW2944540295MaRDI QIDQ2074094
Publication date: 4 February 2022
Full work available at URL: https://arxiv.org/abs/1905.03478
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Étale and other Grothendieck topologies and (co)homologies (14F20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Algebraic cycles (14C25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Negative (K)-theory, NK and Nil (19D35) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
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Cites Work
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- Integral mixed motives in equal characteristic
- The six operations in equivariant motivic homotopy theory
- \(K\)-theory and the bridge from motives to noncommutative motives
- Zeta functions, Grothendieck groups, and the Witt ring
- K-theory of endomorphisms
- Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara
- Miscellany on traces in \(\ell\)-adic cohomology: a survey
- \(\mathbb{A}^1\)-homotopy theory
- La conjecture de Weil. II
- On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne
- Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
- Rigid geometry, Lefschetz-Verdier trace formula and Deligne's conjecture
- $K$-theoretic obstructions to bounded $t$-structures
- La conjecture de Weil. I
- Singular homology of abstract algebraic varieties
- Homology of schemes
- Descent by blow-ups for homotopy invariant \(K\)-theory
- A universal characterization of higher algebraic \(K\)-theory
- Künneth formulas for motives and additivity of traces
- Borel-Moore homology, Riemann-Roch transformations, and local terms
- Traces in monoidal derivators, and homotopy colimits
- Negative \(K\)-theory of derived categories
- Motivic cohomology, localized Chern classes, and local terms
- Étale motives
- Weights for Relative Motives: Relation with Mixed Complexes of Sheaves
- Algebraic independence in the Grothendieck ring of varieties
- A proof of a generalization of Deligne’s conjecture
- Submersions and effective descent of étale morphisms
- Cycles, Transfers, and Motivic Homology Theories. (AM-143)
- Motivic realizations of singularity categories and vanishing cycles
- Higher Categories and Homotopical Algebra
- Triangulated Categories of Mixed Motives
- Non-connective K-theory via universal invariants
- Intersection of a correspondence with a graph of Frobenius
- La réalisation étale et les opérations de Grothendieck
- Higher Topos Theory (AM-170)